11111213201120 has 96 divisors (see below), whose sum is σ = 26414875992960. Its totient is φ = 4416695009280.

The previous prime is 11111213201089. The next prime is 11111213201161. The reversal of 11111213201120 is 2110231211111.

11111213201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16537664 + ... + 17196416.

It is an arithmetic number, because the mean of its divisors is an integer number (275154958260).

Almost surely, 2^{11111213201120} is an apocalyptic number.

11111213201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111213201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13207437996480).

11111213201120 is an abundant number, since it is smaller than the sum of its proper divisors (15303662791840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11111213201120 is a wasteful number, since it uses less digits than its factorization.

11111213201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659428 (or 659420 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 11111213201120 its reverse (2110231211111), we get a palindrome (13221444412231).

The spelling of 11111213201120 in words is "eleven trillion, one hundred eleven billion, two hundred thirteen million, two hundred one thousand, one hundred twenty".